Unable to burp!! Any treatment for this?

I am writing on behalf of my partner since he will not go to a doctor but continues to suffer with these issues. He is unable to burp naturally and his belly continually gurgles until he sticks his fingers down his throat and makes himself have this really horrible sounding burp. The gurgles go up his throat and burn and it is very loud. We call it “the gurgs” and they don’t stop until he does the fingers thing. Sometimes he has to do it multiple times for it to stop them. Does anyone know what this is called? He saw a pcp for a work physical and they referred him to a GI but he never made an appt for some reason. He thinks the medical system makes people sicker so he just continues to suffer all of the time. Do any of you suffer with this? I know something is wrong based on how much pain he is in with the burning sensation. He says it settles mostly at the back of his throat.